List the intervals on which the function is increasing, the intervals on which i

Question

List the intervals on which the function is increasing, the intervals on which it is decreasing, and the location of all local extrema. Choose the correct increasing and decreasing intervals. increasing on (- 4, 0), (4, infinity); decreasing on (- infinity, -4),(0, 4) increasing on (-infinity, -4),(0, 4); decreasing on (- 4, 0),(4, infinity) increasing on (- 4, 0), (0, 4); decreasing on (-infinity, -4), (4, infinity) increasing on (-infinity, -4), (4, infinity); decreasing on (- 4, 0), (0, 4). Choose the correct local extrema. local minimum of 0 at x = - 4 and x = 4; local maximum of 256 at x = 0 local maximum of 0 at x = - 4 and x = 4; local minimum of 256 at x = 0 no local extremum

Explanation / Answer

Increasing on (-4, 0), (4,+infinite) and decreasing on (-infinite, -4), (0,4) so the correct option is A. Local minimum of 0 at x=-4 and x=4; local maximum of 256 at x=0 , so the correct option is A

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